RÉSUMÉ

We discuss the structure of the nth Milnor K-group of an n-dimensional local field modulo its maximal divisible subgroup. This group plays a fundamental role in the higher local class field theory developed by Parshin, Kato and Fesenko. The structure of this group in the mixed characteristic case is not completely known. We prove that the wild part of this group is topologically generated, up to a finitely generated quotient, by torsion elements. We can give a complete description of the group under consideraion in the absolutely unramified case.

WWW page design par Thomas Papanikolaou & Christine Bachoc